{"id":"https://openalex.org/W2089071901","doi":"https://doi.org/10.1007/s10898-006-9046-8","title":"An Optimal Alternative Theorem and Applications to Mathematical Programming","display_name":"An Optimal Alternative Theorem and Applications to Mathematical Programming","publication_year":2006,"publication_date":"2006-06-26","ids":{"openalex":"https://openalex.org/W2089071901","doi":"https://doi.org/10.1007/s10898-006-9046-8","mag":"2089071901"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-006-9046-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-006-9046-8","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073555271","display_name":"Fabi\u00e1n Flores-Baz\u00e1n","orcid":"https://orcid.org/0000-0003-2485-7861"},"institutions":[{"id":"https://openalex.org/I172787465","display_name":"University of Concepci\u00f3n","ror":"https://ror.org/0460jpj73","country_code":"CL","type":"education","lineage":["https://openalex.org/I172787465"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Fabi\u00e1n Flores-Baz\u00e1n","raw_affiliation_strings":["Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Concepci\u00f3n, Casilla 160-C, Concepci\u00f3n, Chile","Departamento de Ingenier\u00eda Matem\u00e1tica , Universidad de Concepci\u00f3n , Concepci\u00f3n, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Concepci\u00f3n, Casilla 160-C, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I172787465"]},{"raw_affiliation_string":"Departamento de Ingenier\u00eda Matem\u00e1tica , Universidad de Concepci\u00f3n , Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I172787465"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072891344","display_name":"Nicolas Hadjisavvas","orcid":"https://orcid.org/0000-0002-9895-8190"},"institutions":[{"id":"https://openalex.org/I98805295","display_name":"University of the Aegean","ror":"https://ror.org/03zsp3p94","country_code":"GR","type":"education","lineage":["https://openalex.org/I98805295"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Nicolas Hadjisavvas","raw_affiliation_strings":["Department of Product and Systems Design Engineering, University of the Aegean, 84100, Hermoupolis, Syros, Greece","Department of Product and Systems Design Engineering, University of the Aegean, Hermoupolis, Greece 84100"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Product and Systems Design Engineering, University of the Aegean, 84100, Hermoupolis, Syros, Greece","institution_ids":["https://openalex.org/I98805295"]},{"raw_affiliation_string":"Department of Product and Systems Design Engineering, University of the Aegean, Hermoupolis, Greece 84100","institution_ids":["https://openalex.org/I98805295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011992865","display_name":"Cristi\u00e1n Garay Vera","orcid":"https://orcid.org/0009-0001-5309-7470"},"institutions":[{"id":"https://openalex.org/I38685851","display_name":"Universidad Cat\u00f3lica de la Sant\u00edsima Concepci\u00f3n","ror":"https://ror.org/03y6k2j68","country_code":"CL","type":"education","lineage":["https://openalex.org/I38685851"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Cristi\u00e1n Vera","raw_affiliation_strings":["Facultad de Ingenier\u00eda, Universidad Cat\u00f3lica de Sant\u00edsima Concepci\u00f3n, Concepci\u00f3n, Chile","Facultad de Ingenier\u00eda, Universidad Cat\u00f3lica de Sant\u00edsima Concepci\u00f3n, Concepci\u00f3n, Chile#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Ingenier\u00eda, Universidad Cat\u00f3lica de Sant\u00edsima Concepci\u00f3n, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I38685851"]},{"raw_affiliation_string":"Facultad de Ingenier\u00eda, Universidad Cat\u00f3lica de Sant\u00edsima Concepci\u00f3n, Concepci\u00f3n, Chile#TAB#","institution_ids":["https://openalex.org/I38685851"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5072891344"],"corresponding_institution_ids":["https://openalex.org/I98805295"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":1.3493,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.81349119,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"37","issue":"2","first_page":"229","last_page":"243"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9778000116348267,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9086815714836121},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.6163841485977173},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5344269871711731},{"id":"https://openalex.org/keywords/duality-gap","display_name":"Duality gap","score":0.5206398367881775},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5139736533164978},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4510093629360199},{"id":"https://openalex.org/keywords/locally-convex-topological-vector-space","display_name":"Locally convex topological vector space","score":0.4474303424358368},{"id":"https://openalex.org/keywords/vector-space","display_name":"Vector space","score":0.4440736174583435},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3740888237953186},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37135636806488037},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3575596511363983},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.3186652958393097},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2921385169029236},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10275286436080933},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08890137076377869}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9086815714836121},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.6163841485977173},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5344269871711731},{"id":"https://openalex.org/C5274546","wikidata":"https://www.wikidata.org/wiki/Q5310264","display_name":"Duality gap","level":3,"score":0.5206398367881775},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5139736533164978},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4510093629360199},{"id":"https://openalex.org/C58228006","wikidata":"https://www.wikidata.org/wiki/Q1572357","display_name":"Locally convex topological vector space","level":3,"score":0.4474303424358368},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.4440736174583435},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3740888237953186},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37135636806488037},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3575596511363983},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3186652958393097},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2921385169029236},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10275286436080933},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08890137076377869},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10898-006-9046-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-006-9046-8","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320894","display_name":"Abdus Salam International Centre for Theoretical Physics","ror":"https://ror.org/009gyvm78"},{"id":"https://openalex.org/F4320334812","display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/02ap3w078"},{"id":"https://openalex.org/F4320338206","display_name":"Fondo de Financiamiento de Centros de Investigaci\u00f3n en \u00c1reas Prioritarias","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W83414806","https://openalex.org/W167154149","https://openalex.org/W172690220","https://openalex.org/W187778025","https://openalex.org/W1514930618","https://openalex.org/W1526937596","https://openalex.org/W1600462783","https://openalex.org/W1749659338","https://openalex.org/W2003584206","https://openalex.org/W2017799496","https://openalex.org/W2020867778","https://openalex.org/W2024684182","https://openalex.org/W2041075185","https://openalex.org/W2049623686","https://openalex.org/W2055851424","https://openalex.org/W2067036393","https://openalex.org/W2099743855","https://openalex.org/W2166028622","https://openalex.org/W2269173762","https://openalex.org/W2317783333","https://openalex.org/W4249513058","https://openalex.org/W6603399429","https://openalex.org/W6631511297"],"related_works":["https://openalex.org/W4297816335","https://openalex.org/W1877581457","https://openalex.org/W2201555914","https://openalex.org/W2290719478","https://openalex.org/W3149289119","https://openalex.org/W2790584719","https://openalex.org/W3139624985","https://openalex.org/W2047173329","https://openalex.org/W4236357126","https://openalex.org/W2058244428"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}
